Find the linear function with the following properties.
f(-4) = 7
f(-8) = -4

Answer:
[tex]\mathsf{ y=\dfrac{11}{4}x+18}[/tex]
Step-by-step explanation:
[tex]\mathsf{(x_1,y_1)=(-4,7)}[/tex]
[tex]\mathsf{(x_2,y_2)=(-8,-4)}[/tex]
[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-7}{-8+4}=\dfrac{11}{4}}[/tex]
[tex]\mathsf{y-y_1=m(x-x_1)}[/tex]
[tex]\mathsf{\implies y-7=\dfrac{11}{4}(x+4)}[/tex]
[tex]\mathsf{\implies y=\dfrac{11}{4}x+18}[/tex]